Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Algebraic Rules for the Percentage Composition of Oligomers in Genomes

Version 1 : Received: 17 January 2021 / Approved: 18 January 2021 / Online: 18 January 2021 (16:15:00 CET)
Version 2 : Received: 25 February 2021 / Approved: 1 March 2021 / Online: 1 March 2021 (14:14:56 CET)

How to cite: Petoukhov, S. Algebraic Rules for the Percentage Composition of Oligomers in Genomes. Preprints 2021, 2021010360 (doi: 10.20944/preprints202101.0360.v1). Petoukhov, S. Algebraic Rules for the Percentage Composition of Oligomers in Genomes. Preprints 2021, 2021010360 (doi: 10.20944/preprints202101.0360.v1).

Abstract

The article presents the author's results of studying hidden rules of structural organizations of long DNA sequences in eukaryotic and prokaryotic genomes. The results concern some rules of percentages (or probabilities) of n-plets in genomes. To reveal such rules, the author uses a tensor family of matrix representations of interrelated DNA-alphabets of 4 nucleotides, 16 doublets, 64 triplets, and 256 tetraplets. If percentages of each of these n-plets in tested genomic DNA-texts are disposed into appropriate cells of appropriate matrices, unexpected rules of invariance of total sums of their percentages in certain tetra-groupings of n-plets are revealed. The author connects the received results about these genomic percentages rules with a supposition of P. Jordan, who is one of the creators of quantum mechanics and quantum biology, that life's missing laws are the rules of chance and probability of the quantum world. Algebraic features of the genomic matrices of percentages of n-plets are analyzed and discussed. The received results can be used for further development of quantum biology.

Subject Areas

DNA sequences; genomes; percentages of n-plets; binary-oppositions, tensor family of matrices; tetra-groupings; quantum biology

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